In this work we have resumed already studied arguments, proceeding with a complete treatment of impulsive plane waves in a limited depth. The first part, which we are introducing, shows that the behaviour of the above waves is practically similar to the behaviour of waves in an infinite depth.
Referenze Bibliografiche
[1] A. CAUCHY, Mémoires sur la théorie des ondes, «Mém. de l'Acad. Roy. des Sciences» (1827).
[2] S. D. POISSON, Mémoire sur la théorie des ondes, «Mem. de l'Acad. Roy. des Sciences» (1816).
[3]
H. LAMB,
Hydrodynamics, Cambridge, sixth edition. |
MR 1317348[4]
W. THOMSON (Lord Kelvin),
On the waves produced by a single impulse in water of any depth, or in a dispersive medium, Papers (
1887). |
Zbl 19.0996.02[6]
J. J. STOKER,
Water waves,
Interscience publishers (
1957). |
MR 103672[7] J. O. HINZE, Die Erzeungung von Ringwellen auf einer FlüssigkeitsOberfläche durch periodisch wirkende Druckkräfte, «Zeitschrift für ang. Math. und Mech.», 16 (1936).
[8] S. UNOKI e M. NAKANO, On the Cauchy-Poisson waves caused by the eruption of a submarine volcano, «Oceanographical Magazine», 3 paper (1953).
[9]
N. W. McLACHLAN,
Complex variable and operational calculus with technical applications. |
MR 414 |
Zbl 65.0478.03[10] G. PEZZOLI, Sulla teoria delle onde d'emersione e d'impulso. Una soluzione rigorosa ad energia finita del problema di Cauchy e Poisson per moto piano, quesiti «Rend.», 38 (5), 660-669 (1965).
[11] J. W. STRUTT (Lord Rayleigh), On the instantaneous propagation of disturbance in a dispersive medium, examplified by waves on water deep and shallow, «Phylosophical Magazine», 18 (1909).
[12] G. SCARPI, Onde provocate da uno spostamento istantaneo di una parete verticale, XI Convegno di Idraulica e Costruzioni Idrauliche, Genova, ottobre 1968.